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Explicit decompositions of Weyl reflections in affine Lie algebras

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Publication:1384579
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DOI10.1016/S0550-3213(98)00092-3zbMath0945.81010arXivq-alg/9707026OpenAlexW2127417108MaRDI QIDQ1384579

D. Massart

Publication date: 13 April 1998

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9707026


zbMATH Keywords

affine Lie algebrasexplicit decompositionsWeyl reflections


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)




Cites Work

  • Structure of representations with highest weight of infinite-dimensional Lie algebras
  • Free field realizations of 2D current algebras, screening currents and primary fields
  • Fusion rules and singular vectors of the \(\text{osp}(1|2)\) current algebra
  • Free field realizations of affine current superalgebras, screening currents and primary fields
  • A REMARKABLE REPRESENTATION OF THE SO(3, 2) KAC-MOODY ALGEBRA
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